Results 31 to 40 of about 36,597 (202)
A Time-Oscillating Hartree-Type Schrödinger Equation
Abstract and Applied Analysis, 2014 We consider the time-oscillating Hartree-type Schrödinger equation iut+Δu+θωtx-γ*u2u=0, where θ is a periodic function. For the mean value I(θ) of θ, we show that the solution uω converges to the solution of iUt+ΔU+Iθx-γ*U2U=0 for their local well ...
Xu Chen
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On the Local Well-posedness of a 3D Model for Incompressible Navier-Stokes Equations with Partial Viscosity [PDF]
, 2011 In this short note, we study the local well-posedness of a 3D model for incompressible Navier-Stokes equations with partial viscosity. This model was originally proposed by Hou-Lei in \cite{HouLei09a}.
Hou, Thomas Y., Shi, Zuoqiang, Wang, Shu
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International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
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Well-posedness and behaviors of solutions to an integrable evolution equation
Boundary Value Problems, 2020 This work is devoted to investigating the local well-posedness for an integrable evolution equation and behaviors of its solutions, which possess blow-up criteria and persistence property.
Sen Ming, Shaoyong Lai, Yeqin Su
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Two approaches for the stability of a nonlocal time-delayed fourth-order dispersive model
Kuwait Journal of Science, 2023 The primary concern of the current article is to investigate the well-posedness and stability problem of a nonlinear dispersive equation of order four and with a nonlocal time-delayed term.
Boumediène Chentouf
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Pupil Plane Multiplexing for Vectorial Fourier Ptychography
Laser &Photonics Reviews, EarlyView.This study proposes a cost‐effective, modality‐adaptive multichannel microscopy framework using pupil‐plane multiplexing. A custom pupil aperture at the Fourier plane encodes channel‐specific transfer functions with spectral or polarization filters, and model‐based reconstruction with channel‐dependent priors decodes them.
Hyesuk Chae +5 more
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On a strongly damped semilinear wave equation with time-varying source and singular dissipation
Advances in Nonlinear Analysis, 2022 This paper deals with the global well-posedness and blow-up phenomena for a strongly damped semilinear wave equation with time-varying source and singular dissipative terms under the null Dirichlet boundary condition.
Yang Yi, Fang Zhong Bo
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Local well-posedness for Kawahara equation
Advances in Differential Equations, 2011 We consider the Cauchy problem for the Kawahara equation, which is a fifth-order KdV equation. This paper establishes the local well-posedness with initial data given in the Sobolev space $H^s(\mathbb{R})$. Previously, Chen, Li, Miao, and Wu (2009) proved the local well-posedness for $s>-7/4$, which has been improved to $s \geq -7/4$ by Chen and Guo ...
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Local well posedness of nonlinear Schrödinger equations [PDF]
Journées équations aux dérivées partielles, 1995 In this note I describe some recent work, done jointly with Gustav Ponce and Luis Vega, on nonlinear Schrödinger equations of the form \[ i{\partial u\over\partial t}+ \Delta u+F(u,\overline u,\nabla_xu,\nabla_x\overline u)=0,\quad u(x,0)=u_0(x), \] where \(x\in \mathbb{R}^n\), \(t\in [0,T]\).
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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